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arXiv · 1312.5188

Non-Abelian Chern-Simons Actions in Three-dimensional Projective Superspaces

Masato Arai·Shin Sasaki
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Abstract

We construct an action for the superconformal Chern-Simons theory with non-Abelian gauge groups in three-dimensional N=3 projective superspace. We propose a Lagrangian given by the product of the function of the tropical multiplet, that represents the N=3 vector multiplet, and the O(-1,1) multiplet. We show how the tropical multiplet is embedded into the O(-1,1) multiplet by comparing our Lagrangian with the Chern- Simons Lagrangian in the N=2 superspace. We also discuss N=4 generalization of the action.

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Masato Arai, Shin Sasaki. 2014-06-25. Non-Abelian Chern-Simons Actions in Three-dimensional Projective Superspaces. https://doi.org/10.1093/ptep%2Fptu076

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